11340322400 has 288 divisors, whose sum is σ = 32113882080. Its totient is φ = 3870720000.

The previous prime is 11340322373. The next prime is 11340322519. The reversal of 11340322400 is 422304311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9441800 + ... + 9443000.

It is an arithmetic number, because the mean of its divisors is an integer number (111506535).

Almost surely, 2^11340322400 is an apocalyptic number.

11340322400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11340322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16056941040).

11340322400 is an abundant number, since it is smaller than the sum of its proper divisors (20773559680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11340322400 is a wasteful number, since it uses less digits than its factorization.

11340322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 11340322400 its reverse (422304311), we get a palindrome (11762626711).

The spelling of 11340322400 in words is "eleven billion, three hundred forty million, three hundred twenty-two thousand, four hundred".